{ "cells": [ { "cell_type": "markdown", "metadata": { "lines_to_next_cell": 0, "toc": true }, "source": [ "

Table of Contents

\n", "
" ] }, { "cell_type": "markdown", "metadata": { "lines_to_next_cell": 0 }, "source": [ "# Random number generation\n", "\n", "Some examples demonstrating how to generate random numbers using\n", "https://docs.scipy.org/doc/numpy/reference/routines.random.html" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Learning objectives\n", "\n", "1. Demonstrate random number utilities in numpy.random \n", " and scipy.stats\n", " \n", "1. Use the paramter estimates generated by the 11-pandas4 notebook\n", " to generate seasonal precipitation and temperature data that\n", " fits the observed normal (temperature) and exponential (precipitation)\n", " data at YVR airport\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Making random numbers\n", "\n", "For this notebook, `import context` defines the Path\n", "object for `notebooks/pandas/data/processed` so that\n", "we can find the `fit_metadata.json` file written by 11-pandas4" ] }, { "cell_type": "markdown", "metadata": { "lines_to_next_cell": 0 }, "source": [] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "in context.py, found /Users/phil/repos/eosc213_students/notebooks/pandas/data/processed\n" ] } ], "source": [ "import numpy as np\n", "import numpy.random as rn\n", "import pandas as pd\n", "from matplotlib import colors\n", "from matplotlib import pyplot as plt\n", "import json\n", "import context" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Create 1000 uniformly distributed random numbers in the inteval [0,1)\n", "\n", "It's a good idea to set a seed, so the random numbers will be identical each\n", "time you run the notebook\n", "\n", "The generator [numpy.random.rand](https://docs.scipy.org/doc/numpy/reference/generated/numpy.random.rand.html)\n", "generates evenly distributed random numbers between 0 and 1. Below we make 1000 draws\n", "and histogram the result." ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [], "source": [ "my_seed = 5\n", "rn.seed(my_seed)\n", "uni_dist = rn.rand(1000)" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [ { "data": { "image/png": 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tOpt33UJwbAgh4cKKKSQUKKhTiIuOqSnzN3q/Cv2+EelRKklSGISSq1uVSPytrAATE8D+/cD8vPmsqjCtIqRciuC2hacvIRnivZZ33bI+C7EdhBBCxpexF9R5aRiAu6ofkZiemDhVGDSVq+tLhPR6w/atrwO7dgHnn58/sbKIKuLYtQhuMy3AR4Q8tLzwiLzrlvaZz3ZQqBNCCKnCWAvqvMgqYB8lzHsIR8eIxPTFF2+sHJJ1DtcPdlciJM2u2VnTtvV183ptbWNfVRGmVcVxqLmxVSbWuY6Qh5w+kXfdkp/5jN6H6HAQQggJn7EW1HmRVcAuSlj0EE4eI1mGL+0cPh7sLkRIll0zM8YZ2bXLHH/zZtZKjlP1erp2DtrOC3eFr3aE7HAQQggJm7EW1DaR1aIoYd5DOBKF+/YBy8vpx0g7x9697h/sLkRIXlvn540zMool6+oS77eq9c1d0HZeeB5lHKioHUtLbm0YFYeDEEJI84y1oLaJrBZFCfMmTdmKwuQ5fDzYXYipIrtcRVSbjhTWiYbb7FtU37zJaHyIKTFlHah+34jpgweB1VXg0CE3TlfIDgchdWAljO7Ca9cdxlpQA/Ujq1kP4Tqi0NeDva6YakpwNBkprFsn22bfqN/S6psD3Y/G13UIlpaAEycA1eLvStTn0faAW6crRIeDEEJI+Iy9oAaqP0TjQmLPno2f1RWFoT7Ym7ArS7j7iOTG8+hXVsoJszJO08xMen1z19H4pnPP66bn9PvAjTcOxfGmTfnflai/ou1FmJ5RFxG5EcBLADyiqs8fvPcUAO8DcB6A+wG8XFW/LCIC4FoAlwD4BoDLVPXuNuwmhJCQoKCuSL8P/OiPDoXE7bcXl/sKGRdCzKWYSwp3X3nVU1PDHPr1dfPalrJOU9Y94Soa30buuY1DUFQFZ23N/F8E2L7dPsVqchK4/HJgbi7871fg3ATgOgDxrPSrANymqleLyFWD128C8OMAnjP49wIA7x78JYSQsYaCuiJLSyaiCZi/S0vpEw678KB3IcR8izlfedXLy8OJqRMT5nWcPDFYNDkubd/kPeHS8WqjSkWRU7G4uHGOQlEVnLm5/PN1zVHtAqr6VyJyXuLtSwHMDv5/CEAPRlBfCmBJVRXA34rIk0XkbFV9qBlrCSEkTCioiRMh5lvM+cqrnp01Qi/tuLZOwqFDZpv45Lg6k1LrtKVKH8WFP+CuXna/D+zcaSYOAukpNVUEclcc1Y7z9Egkq+pDIvK0wfvnAHggtt3xwXsU1ISQsYaCuiJzcyb38+RJ4LTTiiNrTVMm/cKFWPU9kdDnRM2s49o4CVnbJN9fWrK3vWrqTJU+igv/yUmTdrG6WuwEJG1M267XG6bTAOb4afeFS4E8SvXLA0VS3tNTNhKZBzAPANPT075tIqQxmq66QboDBbUlaQKi1wvz4V02/aKMEMtbqt33UHxcePnM146wcRKytknm+kYl3myEap3UmbLiNC78I/FbVG3D1sYo+h+tRHrddX6/J6NWv7xlvhClcojI2QAeGbx/HMAzY9udC+DB5M6qughgEQC2bNlyiuAmhJBRg4I6haRYy1shsIr49E2V9AsbIVYkWJoaik/akbdwTh1snISsbeLvHzsGHDhgrseJE+n59hFN50EnhX88Qp01ymBrY9P5zmXK75FCbgGwDcDVg78fir2/S0RuhpmM+BXmTxNCyBgJaltxmyYaq4icNqNlo740c9yOlRUz6W193U8/2zgJWdtE70el4dbWjNg7eDC7MoXttXPlrCVFL2C/UI3N/dWkk1Wm/F7ecbLaP6rpJCLyXpgJiGeKyHEAb4MR0u8XkdcBOAbgpwab3wpTMu+zMGXztjduMCGEBMhYCOoy4jZNNFYRqGXEp+sHta/IoC+hbtP++DZxO0SG6QqhRiVnZkx5t+uvN4JvdbVeVNe1s5ZWeaRo+9AqbfR65crvpZHXr6OcTqKqr8z46KKUbRXATr8WEUJI9xgLQV1G3KaJxpkZk1Zw+DCwdavdg7RMpNHHg9pXZHDbNvPXVe1fm/anbRMJuqkpYPfuZlZVrMPc3LAaSN2obggjBXk2thHJLVt+L428fg2hzwkhhITLWAjqskPUyehbvz8UbUePmqXKXUXxfD2oXYuapKh1VdWkaiWNPXuG29VZOj7Ctwh0EdWNbJyacjtS4LLtTeW3J3HRv3m/E76r2BBCCOk2YyGoyz5sk9G3qqLXJkrs40HtI+rtS/gXtb/fN5P6Ng3u1LRt6kbjXSyfbXNv2dqZdjxfQtXVoj6RvU3mtyepex/k/U6EmOZCCCEkHMZCUAP1HrY+o1M+HtQ+xK+vPshrf7JG8o4dfpaZTorAhQXzz1b8unReso6XvKbLyyZKX5e690qa0O9SfnuSvN+JpiZYEkII6R5jI6jrUEf02kQvXT+ofYjfNiJ0cbEHANPTfs4b9dfKihF/R46Y1B4bcexCkMb7NOt4LlZBrFNVJIs0od+1/HZCiFu4+El3afLa3X/1TzR2riagoLakiuhtqzKAL/HrI0K3uGjSAtbWzCIg8T5qKm816q+FBSOmy0RU69iYdn9kHa/KNbW5/+reK1mTeF3mt9swqiXtCCGEdAMKao/Eo3dFC3rEqSoObJaDDol+H9i505SRA0yEOC5im4yKz8wYQX30aDlxXMfGrMmWeXm8dY+ftn+de6Wo/UXHdiGER7mkHSGEkG5AQe2R2VmT+2uzoEdEVXFQZ79kRRMXlShs9u/1hstdA6av0iYcRtvGX/uiSlnAqoI0LxrdxITPNKpc/6r2uhLCvibMEkIIIbZQUHtkZsZ+QY+IquKgyn5pE8riOa9Vql2UqUQxO2vSPFZWgIkJ4LrrTt2uqeijr7KAefiOwJc9ftOR3qx7tqyoZ0k7QgghbUNB7ZkyC3oA1cWBi9UcDx+uF+krWzLNRvA1FX3MO4+rFJw0fKfmlDl+05HetHu2iqhnSTtCCOkeTU9e9T0JciwFdZMTmMo+7KuKgyr7JQXN1q3lc4izjmdbMq1I8OU5Ci6vY9Z5mk7BaRPXkd6s6xN/P3nP7t3rr+Y7IYQQ4ouxE9RtCJ2yD/uq4qDKeZKCpk5Vhvjx8kqmlRHCWY6C6+uYdZ4mU3DaxmWkNyv9J3lf3HbbxnraTN8ghBDSRcZCUGet5JYldMapBFdShNeN9BWVTKs6pJ/cpmoFlbLnaTIFJwRcRXqz0n9EzN+skYukU9bUZFRCCCGkDiMvqPNWcksTOl0cqg+VIiFcJ3JbpYJKFZpMwalLSI5gVvrPxIS5biLZjkZke6jfw5D6mRBCSBiMvKBOCrj4Sm5pD8QuDtV3CVeR2yoVVKrSVApOHUJzBPPSf4qqvwDhfg9D62dCCCFhMPKCumglN5vtibuonMvIbdkKKqNIdF2OHQtPgBal/+QR6vcwVKFPCCGkXUZeUDdVZWOUh4HzonJl2h3fNj4RrSrjXi4tfl1EzHsTE2EJ0AgXE2ZDIFShTwghpF1GXlAD/qtsjPowcFZUrky7ffXROJdLi1+XiE2bTEqFyz6p4iy6cDBDvLahCn1CCCHtMhaC2jejPgycFZUr0+5R76M2iK7LiRMmjxwwf5eXN25XR9xWcYRG3cEMUegTQghpl4m2DRgFImEzMWGG3qem2rbILVFU7h3v2CiOonZPThYPf5fZ1oZ+3ywC0u/XO06Xia7L619vlnBP69tI3L7lLeZv2f5Kc4R87EMIIYR0GUaoaxJF/668ErjmGiMidu82k7BCiWLZrFhXpRZ02eHvbdvM37rl7UY9AlqG6LrMzaVfh7ojA1VyhplnTAghZNygoK5BclJY3oIVbZElPhcXzWIba2smullVlNoMfydtmJur1pYIpo+cStZ1qCtuq+QMh5BnPMqThIkfzrvqw22bQAjpMBTUNYgLO5sFK9oga/h9505TuxkwK9n5FKWuBXCeSEwTUuMsrqqI22R/VckZbjPP2NcIxjjfR4QQQvKhoK5BUtjZLFjRNGnis9czkfSIyUm/DoDrFIAskZgmpACmh5QRt6OQTuNjBGMU+oUQQog/KKhrEMLQdhFZNm7ebCLTExPAdddVi1zWtSGNxUXg8GFg61Zgfj7/mDarXAJMDynDKKTTlHHgbO/pUegXQggh/qCgrkkXSmglbayaBlAnQmfTT4uLpmIFAHz0o+ZvnqhOkiWk8sSVjaAKdajfh111RhNC6Sfb+7vMPc2JloQQQvKgoC6BT8HQtBgp6wg0EaE7fPjU12UEdZaQyhJXNoKqqiPh+15ZWgIOHjR58K4Xyqm6UmhIKRE293eZe7oLo1GEEELag4LaEp+CITQxkkYTEbqtW4eR6eh1WbLK+6X1p42gquJINHGvxBdzqergZIn+KqMuPh0uX85J2Xu6C6NRhBBC2oGC2oJ+H1hYMDnHPsridSE/s4kIXRSNzsuhdimubARVFUfC5/WMjh2J6apVZVyLfl8Ol0/nhFFnQgghrqCgziASblNTZqGWSExPTLgXDMeOAZsGVyLk/MwmInTz82ZRnF7P9E3ZFI0y2AiqKqLLZzQ/fuzJSeDyy6stlONa9PsSp3XstHG+GHUmhBDiAgrqFLIWbAGALVtMebw6D+GoksX3fq851smTRhzt2FF/FcEkdSO6Vfavc8480ewj8msjqMqKLp+RT1fH9iH6fYjTqnZ2IY2KEELI6EBBnUJcuE1MGFEd8YlP1Dt2WiULYLjIimsxXUdUVNk/uU9Rbe6k+M4TzU3kcec5A3WXavdtXxlCSnfIa1NVO104X6FULSGEEBI+XgW1iLwYwLUAJgG8R1WvTnw+DeAQgCcPtrlKVW/1aZMNSeH2Yz8GfOhDJm91dbVeZDRZycIntqIiSzhUESXxfVZWzPLm6+vpgjxNsCdTGo4dG6Z++BaBeQ5ECBFPHykvZe4H19hWK6ninNR1vkK43oQQQrqDN0EtIpMA9gN4EYDjAO4QkVtU9d7YZr8C4P2q+m4ReR6AWwGc58smGyIxEY+sAsBHPlL8cI7nXWdFZZOVLCImJ026h0tsREWecKgiSuL7iBhhnTWRM02w79ljbIiE1oEDwKFDQ7t85rzmORAhTBxtwoamhKTLaiVp1Cn/1+sZR67t600IIaQ7+IxQXwjgs6p6HwCIyM0ALgUQF9QK4ImD/z8JwIMe7SkkT0wUPZyjfeOTFzdvPlWQRJUrbrgBuOeeYVrJ/v3uH9hpoqJMikUVURLfJ5rQmSXIswR7ZNfqarOCJs+BCGFhD982+K5mE8dVtRLArvyf7QI+0fd/crIbE4UJIYSEgU9BfQ6AB2KvjwN4QWKbBQAfFZErAXwLgIvTDiQi8wDmAWB6etq5oRFF4jISpFdcYd6LTyCM9o0mL+YJkvl586+JofWkqMhLsUgTDlUiwvF9ooodZfNj2xCwefa0kXOcvD982pDmEPrsd1fVShYXTVrR2lq6AwtkO8p5ziVgJglPTzOHmhBCSDE+BbWkvKeJ168EcJOq/paIzAD4PRF5vqqub9hJdRHAIgBs2bIleQxnFIm4ft+899hj5vXBg8Dtt5uHbbRvGUHSdMmuvBQLX0KxqI1Zn7c1aS7P3iavV5YI9GVD3CGcmAAuvthEq306enWvb78P7Nw5nNB74oSxeevWjSlXafc9UOxc5gl8TlgkhBASx6egPg7gmbHX5+LUlI7XAXgxAKhqX0TOAHAmgEc82pVJ0UO+1zMl7iLiEehkqkNeZQtbXD+081IsQhQFTdgVqjBqOmc7eW/4FNMRda9vrzccEQJM+sif/7mZoxBPuUq2bWoqPbXF1rnkhEVCCCFJfArqOwA8R0SeDeDzAF4B4FWJbY4BuAjATSLyHwGcAeCLHm0qJO8hPzsLnHbaMEKdjEC7FIA+HtpNRH1DFahpNCmMyvZLnZSXKtegrREBW9LaNDtrRPPKinmtOszJzhLKRQs12XyHQ5igSgghJCy8CWpVXRWRXQA+AlMS70ZV/aSIvB3Anap6C4BfBHBARH4BJh3kMlX1ltJRl2j4eGnJvHa9CEscXw9tn1HfrkXumhJGVfqlTpWKqtcg1JGKvPSXskJ57976qS0hTFAlhBASFl7rUA9qSt+aeO+tsf/fC+CHfNpgi21UrymIscqbAAAgAElEQVTRYVvyztcEtSrH7VLkrqkl3+tUzqhyr3XtGtjcZzaThYHhBNi8lCsXqS2hR/MJIYQ0D1dKRJiR1aKHdtkVCW2p0xehRe7SBFtyMZEqS77bCsGylTNcOEjxybEiRlyGSJn7zPa+snFAXInhUKP5hBBC2oGCGtkRMJcR4Kp5rVnbxm1OrkiYJq5dRANt7A0lcpcm2IBTFxMBTGk0HykVS0vDcxWlF7hy6mZmzPWPSsnt3m0it6GJvzL3WTK1I6rSQTFMCCEkFCiokR4Bcxm1jkcqo0VcogVeXNgcX5EwbblvwH00MIvouHVFT12ySqWVXUykzEI4yf1uvHF4rtNOy08vcJmqsbxsrr/vxVnqUPY+i+wPbSSJEEIIAcZMUOetqJaMrEaTl1wInF5vOOy/vm4Eb92oYdqErKzlvoFq0cAqUeaiVJSmqoBkCbboPZvFRMoshJMmvKMFQkSA7dvz2+syXSa01Js0qtxnXcoPJ4QQMl6MjaAuijgnh4FdC5yJiWHN3LU1N2Iga0JWJK4nJ83EuwsuKB8NrOM85KWixJci9xlhzBJsZURcmoBLq1VsI7zn5qrZ67LtoVH2PuuCo0AIIWQ8GRtBXTa65VrgvOENwG/+pnm9ebN7MZAU19HEuwMH3E5aLCIrFeXECeCGG7KvQTRZEHBXjjBNsJURcbYL4dgK7yr2VmUU84S74igQQggZP8ZGUFeJbrkSJf0+8Du/Y/4/MWHEreuKEnGilIPV1aHIW142Is83yVSUK68c5i3fc096mbq8Jd3rUCe9JNo3ckTyJsMVCe9+36QQUQTWZxQdBUIIId1nbAR1m9GtKIK5vm6itsvLdvt1tYRdXPTccw9w/fVGUK+vA697namqEb8GvV72ku5VyaryUabcXTwPPC9VJe/eCrEkIyGEEELcMjaCGmgvulVV3MYnM66slC9ht28fcPgwsHVrO+3u983f00830fIolzgtwpu3pHsVkmkYS0vAoUN2wja57+HDpx4rKZ6z7q2QJtJ1aVn4iJBsDskWQgghYTFWgrotqkbHp6aGExnX18st0tHvD6OqR48Oq4o0JQrikdmixVOiFBWXOdRxJ2ZyErj7bvvVCpMO0Natpg+jY0WLwthEnH2MFFS5houLw9rUmzd3I1IeUnQ/JFuaQkR+AcDPAFAA/wBgO4CzAdwM4CkA7gbwWlV9rDUjCSEkECioG6JKdHx5eVgdZGLCPlUEOLXaxsKCEYZNVdmInx8oXjzF9ehB5MREkzPvvNNutcL4vnHRGlVROXbMTPRsY3IrUC2Vpd8Hdu40TgBQfrSjLeL30IkT5lrWTQOqeh1CGmloAhE5B8DPAXieqv67iLwfwCsAXALgGlW9WUR+F8DrALy7RVMJISQIxk5Qd2nYdnbWRBOrRDfjS1CvrwNHjgB/8RfNLfgRQomz+OTMSEwnVyvMq02e9rrf35g6MjVVPOHQpbNQJZWl1xuOdAAmyt6FknOzs8bWtTWTg3/wYPXRi7oR5hDu5xbYBOA/iMhJAI8D8BCAFwJ41eDzQwAWQEFNCCHjJai7NmxbJ7oZ7buwYMR0JKgmJ+1WCKxLKCXOkkIoKabL3g/JKiZlI/51Hbpke4DiyGnkmEUrdV53Xdj3fcTMjFl8J5rUurpa3QmsG2EO5X5uClX9vIj8JoBjAP4dwEcB3AXgUVUdjHXgOIBz0vYXkXkA8wAwPT3t32BCCGmZsRLUXRy2LRPdTIq1mRkjIKP8X9f1qIvEYQglzvKEUNX7IWpX2dU0XTh0yfYAGyPUaU5S02LQ5SjQ3Fxx+2yYmjLOhGr144RwPzeFiHwrgEsBPBvAowA+AODHUzbVtP1VdRHAIgBs2bIldRtCCBklxkpQj9KwbVK0ZIk1X2Iq9Gh/mnORJJ4WI1Ju0md8f9v7yZVDl2yPzfVtSgy6vi9c3L/RBN21tfJ14NOONSZR6osB/IuqfhEAROSPAfwggCeLyKZBlPpcAA+2aCMhhATDWAnqURm2TRMteWLNh5gKOdpvK+qi0oJR9Yvdu4fVUGwoez/5cuhCipz6uC+i/Xu9ja/L2lS2DnyS0J1IxxwD8AMi8jiYlI+LANwJ4HYAL4Op9LENwIdas5AQQgJirAQ1EJb4qEqaaGk6+p52vih6NzXVzDLnWZQRdcvL9SZqlrmfRsWhy8NXmcAiIZsXOU6WUDx2zGzPSh/ZqOrHROSPYErjrQK4ByaF48MAbhaRXxu8d0N7VhJCSDiMnaAeBdJES9NiLS2X96KLhlVFJibaq3dcRtTVEYBVl4UfVREG+LkPi4RskeBOllA8cMDkZbPSRz6q+jYAb0u8fR+AC1swhxBCgoaCuoNkiZYqYs1WFKZtFz9fNEEvvhBNW1G8MqIub9u8vgl9+L/NXF/XTkORkLWJHM/MDEsostIHIYQQ11BQN4RrgeNCtNiKQpvtknWvbRZQ8UnZVIyygjnk4f/QxX5ZioSsbeTYRYR51EcYCCGEVIOCugFCFThxUZi3Ep1tBDBen7nNHGoXFLU55OH/kMV+VfKErG3kmBFmQgghvqCg9kQ8Ih2qwLFdic5WPI5S9K6ozSGLs5DEfr9vHDWg+iqHNtjee6N0jxJCCAkHCuoBLlMykhHpffuMcF1fD2vZ55kZu5XoQhaPPojuhaJFcLLEWda9lFY73EefhnK9+n1z/sceM68PHgRuv501oAkhhIweFNRwn5KRjEjfc4+pfwsM/4aC7Up04xLZq3svZO2f5mSVXba8DK6vVxUx2+sBJ08OX9cZnQk1bYoQQggBKKgBuE/JSA65Ayb6mxcFbotQopmhUPdeSO6/tGTeO3Zs4/uHD4eZBpRGGTEbF96zs8Bppw0j1HXST0JNmyKEEEIACmoA7nNO02o020SB26KL0Wdfw/9174XkIiIHDxonanIS2DT4tp1+OrB1K3D0aLj3RBxbMZu1gmfZHOq0a2t7XercF0wpIYQQUhUKaviJ0iZFKqPAbogmuUVC1fXwf917Ib7/sWNmEZG1NfPZjh3A9PTwuOef3417wlbMpgnvPXuqpcysrJjSi/v3A/PzdtelTlpI1nkJIYQQGyioB/iO0nYxChwakeg5ccKkzwB+hv+jY/V6G1+X2T/Km46PTCQjtPF7IuToaJGYjS85X3ekp9cb1jJfXwd27TKOR9RXeX1TJy0k77yEEEJIERTUHSNk4eWbSDBFYlpkKNx8VmmpGgG3jXZ3YcJdXkWT5GTLOjXIZ2dNhDhacXNtbejYFPVjnXSd2dmNE4aj84Z2HQghhIQJBXWH6ILw8kkyP/nyy03UF3BfpSWKVq6s1BNWNiMTeecL3YFKRoWXl02aR1VmZky6xa5d5pibN5vIt831rZuuMzExTM857bSw89oJIYSEBQV1hxjXSgdxUZkmmPbuddsvU1PDCOn6unntk6zzdcGByooK13EE5uc35peXue+rplb1esNrIAJs3x5eXxNCCAkXCuoO0eQKeKFERtNEZTIC6rpflpeHaQcTE+a1T5Lnu+ce4yQkS+016UDZrnAYRYWjbaN96zoCSWHs+75P3kPRyAchhBBiAwV1h2iqZnRIkVGb6KTrfpmdNakGTZW0i58vr9ReUykIVVY4jCZfHjoEbNvm1hFo4r4vc45QnE1CCCHhQEHdMZqoFhJSaolt9NllvzS92E2ZUnt5uBJ6vV65FQ6T9wvgPqLcREUUm3soJGeTEEJIOFBQN4CNAAgp6tVkakkRvsRtUX83XebQttReFi6FXtkVDtPSJebmNi5stHdvWBVYqhKSs0kIISQcKKg9YyMA2hYJSVt6vfrlz5LHq7tyXZ3KEWnHDaW/k1R1IFwKvZmZciscZtkcOQiuK7C0KWhDcjYJIYSEAwW1Z2wEQHyblRVgYcH8a1rkuRI/8YU+du+uVqPYp+htW5QVUSU67kPo2aaaANk2u+7rtgVt0+lAhBBCugEFtWdsBEC0TVSL+MgR4OjRbg5nx4WwyHDluZUVU1t4fd1OIPsUvW2LMh+4FHplnJmiEYiivi47ghFv59RU9dUs69B0OhAhhJDwoaD2jI3QibZZWDBien29u8PZcSE8MWEqVYiYf2tr9m3zKXq7HmXMEqGuhJ6tM2MjvPP6uuooRLSNqxGMkOYvEEII6SYU1A1gI3RmZoygPnq0WETmCYA64sCF0EwK4SjNI5n+USSQfYverkYZbUVonfvA1pmxFd4+0kGq7pvsl5Dz6QkhhHQHCuoYZUSIj6iWjYjMEwDRZysrJjq8f79Zda6sDb5qBsdXv6uTl1sXnxFJ39FOGyFZVyTaOjN1RxHq7F9l37R+CT2fnhBCSDegoB5QJELiQgnwF9UqEpF5AqDXG+Zhr6+bnOXzz29eIGS1oYxA9iVMfUYkyx67ShtthKQLkWg7qlJnFKHO/lX2TeuXUcynJ4QQ0jwU1APyRMjiohGna2tmRTvXK8GlkSW28gTA7OxwCWvA2JdnW9JJCCWPtKsVPsocu07+cJGQrCMSq0wSrDuikeW42gj6KG3Dps51Wr90PZ+eEEJIGIytoE4+uLNESL8P7NxploIGTAQY8BvVyhNbeQJgZsakecTFf14ednSOaOLg6moYeaRdrfBR5th12lgkYquKxLbziaucv8w+Wf3S1Xx6Qggh4TCWgjrrIZz2sO31hhFfwIjP5Epwrh/GRWIrSwD0+2YC4HXXFdd7jp8jap9qGHmkLkRvXiUMXxHJomPHbUpro8s0lyoise184irnL7tP3neHUWpCCCFVGUtBnfUQTnvYzs6aSG800e+66zZGtnzgasKV7fB3MkLtO4/UZtnvOqK3qC98RiTzBFvSpngbgerRYVdisMlUEVfnd+V8sdIHIYSQOoyloC7zEG4jx9LVhKsyaQHRMXy30Va81BG9bUdabW3as2do1xVXACdOlB8lKDOZ1tckQ5eCdNs287doufO6NsexuV8YwSaEEJLHWArqsg/hNnIsi85pmwNe5hxNtLEJsdtG5YY6Kwb2+8CNNxoxDZiRkGPHzPt1Uh6Kyiim2VzmXo/2P3bM7Qqbp59uBLUtdb+fRfcLI9iEEEKKGBtBnRQPXZ6IVCYHPDSaELtN90XdFQN7PSNGI9bXgQMHgEOHyqXuJPuz18suo1hXJCYntW4a/JJUzQcv42i5jhYX3S8hjngQQggJi7EQ1KMWYSqTAx4aTYndJvvCVnBl2RQXxSJDAVwldSe+bV4ZxboiMb4/AOzYAUxPV88Ht3W0fH2X8+4X1qomhBBShFdBLSIvBnAtgEkA71HVq1O2eTmABQAK4BOq+irXdoxahGl21kQFIzEzNdWqOaXxJXbbynOtK7jiorjsEu3R/lkCPquMoutVDuM5z3v3Vos22zhabXyXuzL6QwghpD28CWoRmQSwH8CLABwHcIeI3KKq98a2eQ6APQB+SFW/LCJP82FLVyNMaQKx3weWloZiem0N+Lmfa2dFxJBocxTCheCKi+KyS7RnkVdGMSnie73h+7b25kXGq0ab9+zJP29T3+VRShEjhBDiH58R6gsBfFZV7wMAEbkZwKUA7o1tswPAflX9MgCo6iM+DEl7+Ic+az9NbADmvagaRIRNpC709tal7VEIl4LLxbH6fXOtT54ETjstvT+i11UdkbzIuK9ocxPR4lFLESOEEOIfn4L6HAAPxF4fB/CCxDbfCQAi8tcwaSELqvpnPoyJP/y78MBMExuA+X9cTAPFkboutDdOFfHf1VEIXywtmb4AzN+lpfS+9OWI2DgFVa+Z72hx284ZIYSQ7uFTUEvKewkpiE0AngNgFsC5AI6KyPNV9dENBxKZBzAPANPT07UN68IDM0tsRO9NTgKXXAKcddawxNjevd2vUlBV/LeR5zoKUf82HZFQc5PpnBFCCCmLT0F9HMAzY6/PBfBgyjZ/q6onAfyLiHwaRmDfEd9IVRcBLALAli1bkqK8NCE9MMsukR3Pe43yYoF8EVqmvW2KxH4fWFgYlnorK/6bzHMNPeo/NwccPFhc17luLnVdXF4zV/duqEKfEEJIuPgU1HcAeI6IPBvA5wG8AkCygscHAbwSwE0iciZMCsh9Hm0CEM4Ds8oS2Wl5r9u25UegbdvbpkhcXDTVKFZXTUqLiInCu3J2XDsKoUf9Z2aA22+3a3PdXOoQyJpzkNf+aIIvcOrKjJyESAghpAzeBLWqrorILgAfgcmPvlFVPykibwdwp6reMvjs/xaRewGsAfgfqrrsy6Y4riZ+1RFpVUVZcj/ATcTd1h7X4rTfB3buNGI6IhLVLrB1FMq0q+lRjip9XuYeD91BKCJp/9KSWRgnb0n22dnh9+fgQeOAdGHCMiGEkPDwWodaVW8FcGvivbfG/q8A3jD41yhZJelsH6QuorlJUTY1lZ0Hnbff3Jz5l2W7ra02ItFHFLvXGy4+Emd1tZywy7p+NmKxbLuaHOVoYuQgpDSoKkT2r6wYR+zhh/Ovea9nKqBExCf+djlSTwghpB3GYqXEJHkl6WwfpC4iesn81fiCHnnnzxJzZcuTpdXaLRKJPiKZs7Nm0ZFIDEWr+5URdnmi00YslmlXvN+K6ia7oInocShpUED1aPy+fcNFbG699dTl0OPMzppygvERntnZ7kfqCSGEtMNYCuq0hyZQ7kGaJdLKioFom7KT8coM56fZWiXnNOtYdUmKORs7kuQJIRux2PbS13k0FT0OIW+4Tv8uLw+XbV9b27gcetpchF4vPYe6y5F6Qggh7TCWgrqoJJ3NgzRNpFURA9E+kZiemHD/IE+zNbk8dFHOad6xXNmYnBRWhiLRWSQWbdsVF+4rK8YRWljwK0Sbjh7nOYWu8ovrpOdkkZYKVdYpLepr5lcTQghJYywFddZDM+tBmlfarq4YiPaJxPTFF/sRaElbk+IDsLc9hEhmEhei06Zd8Vzd9XXgyBHg6FH/keqm+jzPKXQVna+bnpOFK8cjq69DL5VICCGkPcZSUAPZ0ak6k9WqiIHkPjZi2kWULC3NIh6h7uJQdxOiM+q3hQUjpqvUyw6ZPKfQVX5x3fScPKJ7oN/Pn+Bb5TvE/GpCCCFZjK2gtqXMQ7SKGCi7j8soWVKAhjIprU1shNbMjBHUR4922wFJI88pdJXLXTc9p4ii70jV71DXK6EQQgjxBwV1AWUfolXEQJl9fEbJQkzlaJIyQiukqhguyWuXy5QK24WGqpyr6DtS9Ts0qtecEEJIfSioCwjtIcoomT/KCq2sFKFQ7pWq5DlWrpyuouPUGYkp+o6U+Q6llZbs6nUlhBDiDwpqC0J6iM7MmHq7hw8DW7e6sWsURKAL6jorXZy0Fuq1rxpFjtqzb58po5fVrm3bzN+8SiBdvJ6EEELagYI6gyyh4VuAFB2/3x8uAHP0KHD++X7zTeva2yXKjEaktbtrk9ZCFoxVnBub9iS3mZvLPl7XrqdrROTJAN4D4PkAFMDlAD4N4H0AzgNwP4CXq+qXWzKREEKCgYI6hawHs28BUlSyrNcDjh1z+5CvIxpCFmRVsRmNyGp3VRFY1SGp68w0LRjL2Fsl1cqmPTbbRHZOTY19etW1AP5MVV8mIqcDeByAXwZwm6peLSJXAbgKwJvaNJIQQkKAgjqFrIeubwGSdfy4gJuczF9SuSx10hzGNYKX1e4mK7a4cGaazMevYm/ZVCub9hRtk7SzKHVkVBGRJwL4zwAuAwBVfQzAYyJyKYDZwWaHAPRAQU0IIRTUaWQ9dH0LkKzjxwUckL+kclnqTLoc1wmSee1uqmKLC2emyQm3S0vAiROA6tBewO25bduTlj+dNQK0vAzs2VPftg7ybQC+COCgiHwPgLsA/DyAp6vqQwCgqg+JyNPSdhaReQDzADA9Pd2MxYQQ0iIU1ClkPZh9C5Cs45ddUrnKeascL7QKKE3hqt15wrwoPcKVM+N7wm2/b8T0DTcYMQ2YEZapqeJa0UVzCdI+z2tPVv60zxGgJhGR21T1oqL3LNkE4PsAXKmqHxORa2HSO6xQ1UUAiwCwZcsWrXB+QgjpFIWCWkSeDuCdAJ6hqj8uIs8DMKOqN3i3rkWyHsy+BUh0/ORKb6EK15AqoFQlKc5sF3fxNTpgkx4R7bu0VM+GOtiI3osuGkamAUAE2L7dRH6zIuy+FmaxSeUC3I4ANYGInAGT33ymiHwrABl89EQAz6h42OMAjqvqxwav/whGUH9BRM4eRKfPBvBIDdMJIWRksIlQ3wTgIIA3D15/BmaW90gLaldUmTiWJRhCfbh3rdJH3F7g1JzZqIpKExMt065rmXSOaLn4Q4fKR3mLyNvfRtRG7YiL6TPOAC64ALjnno2R4KmpoQNZ1P6q6S62qVyuR4Aa4PUAdsOI57swFNRfBbC/ygFV9WEReUBEnquqnwZwEYB7B/+2Abh68PdDNW0nhJCRwEZQn6mq7xeRPQCgqqsisubZrpHAdSQtRLpW6SNp77ZtG/v68OH2+942nSPvPnFRDjFvf5t7NN6OyUng8suNmI4clslJEw2Ovxc5NXntr5ru0lYql29U9VoA14rIlar6Ow4PfSWAPxhU+LgPwHYAEwDeLyKvA3AMwE85PB8hhHQWG0H9dRGZgqlDChH5AQBf8WqVJ5qOpLqOpIVI1Ta2FdVO2gts7OutW0197zb73lbg5d0nyXYuLW2MyqcdO35Niq6rzT2a1o69ezemV0xPn5r+sbyc3/4q1VTi27aRytUEqvo7IvKDMDWiN8Xer5QYpKofB7Al5aMqOdmEEDLS2AjqNwC4BcC3i8hfA3gqgJd5tcoDtos+uBwidx1JCxGXC3A0IbKT9l5wwfCzaKj//PPb73sbgRe/T6amhpUzkvfe5CRw8CCwumr+L2L+n+z7ZOpL3nW1zeFOtiPrfkm+V9R+WwHctRGUOojI7wH4dgAfBxCNIiqAFjPtCSFkPCgU1Kp6t4j8CIDnwuTmfVpVT3q3zDFFEbe6NYGXloaiJb5/VWHclYhZlTamXQvArfDJqwIRF6HxVIOo6kNX+h4Y2pnWd1E7jx0DDhww/b2+braPl69LTsyziRJH5OVwZ9mbdlxfDmSX0qccsAXA81SVVTUIIaRhbKp8JBfn/T4RqTyM2BZFkdQ6qQvJSgbJxT6afIC3kUpRto1p18Kl8ClyjiJ74+kHIYutomua1XfxijGR8BUx96lqcY31outa9ZqlHdfX96ROacI4HZl4+48AzgLwUNuGEELIuGGT8vH9sf+fAZM/dzc6NoxYFEmtmp4RiYp4JYO2cm+7MLwdCZO0Fehc5Y3bCr0u5KrbXNOidsTTMw4eBE6eBCYmzDWoMzEv1P5Lit+qpQnjxwv9ezXgTAD3isjfAViJ3lTVn2zPJEIIGQ9sUj6ujL8WkScB+D1vFnkkLwpWNT0jrZJBW2W3Qh/ezhMmecKnzjXJE3pdyFW3uaY27YjSOlZXTdqHiHFoktuUTUuq0n8+o722JSfLfFfSVnkM8V4BsNC2AYQQMq5UWSnxGwCe49qQEKgy7BySKJudNbV919fN36SQbHvYukjEJPu/amSwzDUJPV+6jHNQ1A4fEeWy/ec72hu/x1ZWgIUF86/qiFS/D9x448ZVHkOJxCdR1b9s2wZCCBlXbHKo/wSDknkwNUifB+D9Po3qGr5EWRUBHD34k9OSQhi2Livo6kTc08R5CE5PWVxG7kNw/uqOotguyb6yYhzLI0dMGcS0PHqbvuj1hiX+olUeQ71/RORrGP5Wnw7gNABfV9UntmcVIYSMBzYR6t+M/X8VwOdU9bgnezqDb4FWRQBHD39V8zcuVkJIBykr6NIEuMuVJ13h+15wFblPO5YNLttXJ0peZkn2hQUjptfX81Nlyt6Dc8kp2gGhqk+IvxaRlwK4sCVzCCFkrLDJoR6JYUSXoqCJaG8VAZwnVkKZQFZG0CUFOBDeypNt1NRu0jlyfa/XiZLbtntmxghqFwv0xCd0dg1V/aCIXNW2HYQQMg5kCurE8OGGjwBol4YRq4qCLFHUhKCpIoDzxErTw/15grKM2IwL8Kpl7nw6E8l7YWkpuya5K5p0jnzc61VTpMq02/X9XrbedhuIyH+LvZyAqUvNmtSEENIAmYI6OXzYZaqIgjwR3oSgqSoIiiqZNCEE8vquTsSzar/7dCbSViSMl1H04XA16RyFMrIBpI9Y7N2bX9nERd+EkC5lyX+J/X8VwP0ALm3HFEIIGS+sq3yIyNNg6lADAFT1mBeLPFBFFOQ9RNMEjY8h/rgg6NKkury+qzvRMLSVJ+M2RSsSNlGTvCnnKKSRjcie6PvW1CTbkJyKPFR1e9s2EELIuGJT5eMnAfwWgGcAeATAswB8CsB3+TXNHVVEgc1iGS6irjaEUKGjDD5zuZsSkmWIi7woNWByErjkEuCss5q3x7XzFcLIRpKqo05V+2XbNvO3rRrzNojIuQB+B8APwaR6/G8AP89J5IQQ4h+bCPU7APwAgCOqeoGI/CiAV/o1yz1lRUEZEe5qSLjNnG0bO2zxmcvtK1Lv4rjxtk1NAbt3+8m7LcpPd+l8NTkyUuY+L+uY1ZlHEd8v5CofAA4C+EMAPzV4/ZrBey9qzSJCCBkTbAT1SVVdFpEJEZlQ1dtF5De8W9YicRGxZ0/x9i6GhNvO2baxo2i/uPAqyuUGzPbx175sa/K4UburTqCsa6tL56vpkRGfkw6r9kuH8qcB4KmqejD2+iYR2d2aNYQQMkbYCOpHReTxAI4C+AMReQRmwstIUkVEuMgzLZuz7QvXEzhdbF/HNht8HNeXE1Rka5XzhjIyUvY+LzPqVPV6dCV/esC/ishrALx38PqVAJZztieEEOIIG0H9VwCeDODnYYYQnwTg7T6NapOqIqJunmmZnG2fuJrAGb2fJoyq9rEvceNrSW5XKxyWsbWsKA1lZCSiicmjXVtdsgSXA7gOwDUwOdR/A4ATFQkhpAFsBLUA+AiALwG4GQGxGl8AACAASURBVMD7VHVkox5tRaSS+bdl0yF82FF1AufUVH4EOrTydz6PGz+WixQKG1vLiNJQRkaaoKpYD3EibAbvALBNVb8MACLyFJiVbi9v1SpCCBkDbFZK/FUAvyoi3w3gpwH8pYgcV9WLvVvXAm2KiOhcbVf0qDuBsygCXaePfUYw2550Zxu9dmlr5NysrJgyf1NT/s5FvPPdkZgGAFX9kohc0KZBhBAyLljXoYYpmfcwTE7e0/yYEwYuRETVlQI7NgnqmyT7rCgCPY5CLS8yH0WvV1aAiQlg/35gft6/TTMzwL59wK5d5p7bvRs4//zxuzYjwoSIfGsiQl3mN54QQkhFbOpQXwETmX4qgD8CsENV7/VtWBeJhHK8ZFoyylw07B/iJKiyeb+2EeiQS+D5IK9fej0jptfXzb9du5oTtsvLw/N2yYkjp/BbAP5GRP4IJof65QB+vV2TCCFkPLCJXjwLwG5V/bhvY7pMXCiLZAsUn+kQPlhcHEYvN2+2T0EpikAXORY2ojhtm9AXwcnql9lZE5leXzev19aqCdsqzkSITlxE1ZGecURVl0TkTgAvhJn78t8Y/CCEkGawyaG+qglDmsLXQzgulCcmzEp5aUtP24iXUNIh+n1g505gdVAkcWWlWOTZ9m+eY2EjirO26XLKzP79G52XssK2qjOR58Qlr2eTIjavPaE7Tm0xENAU0YQQ0jBjlV/n8yGcFMr79pmhdNcrBbqgjOhdWxu+npzMF3ll+jfPsbARxVnbhBxtLWJ+3qR5VL03svrE5nqnOXHJ67lvX3Yqkw/y7oO2HCdGxQkhhKQxVoLa50O4jFBuMwJdRvROTQGqw9e/8Avm7xVXmL9zc6fmAdv2b15/2YjirG1cOCxtiqY690Zan9RxIpPX84YbgBMnzD3hQ8Qm+z3vPmjDcWJUnBBCSBZjJah9P4RDSdXIo4zoXV4e5vVOTABf/arps8ceM58fPAjcfvtw/7L9m9VfNqI4b5s618FWNNUR3b4Ee1qf1FkCPX49JyeBe+4ZOlibNrn9/mT1e941bnqkp6vpRIQQQvwzVoI6hHSLtikjemdnTS5vtC0AnDw5/NznQiA2otiHA2MjmupEKn1HOZN9UseJjF/PY8eAAwfM+yLA9u3+5iDE+z3enqQj0rQD2+V0IkIIIX4ZK0ENdCOKnGRxETh8GNi6tX5t4jIT0JLbAsCNNw4j1Gmioon+zYrwlo38pm1vI5rKRirj54nve+IEsLTkt7/i17DOCpwXXLCxX+bm3No5NWVGQVTT+z2EdAs65IQQQrIYO0HdNRYXgde/3vz/ox81f12Iatuoa3LbXs+IQODUHOqqlBHCWXaWFVx57S0STWUilWkT+yYnjaBWNWkzrvoxi+jYZQVpmu1pE23r0u+byY5RhZx9++wnodoe35UI7qJDTgghxD8U1IESiYAPfnDj+4cP+1lBz1awuBYUZYVwlp1lBVfe9kVtLBOpTJ5neRm4/HLg+uuNoD55ElhYMP/aqphRxvY9e/zZtr5u+uSee07dpmq6RQiRbUIIIaPPWArq0EtfJReJibN1q59ztpUfWlboZdlZ1v667bV1LLLOc+jQcGXEI0eAo0f9ir0q7W3qnpidLY7aV0234ERCQgghTTB2gtp3xMqFWI+LgMlJ4KUvBb7xDTc51Fm0lR9apTJImp1l7U/b3oejlWXXbbeZqPSRI8VLfruwq8r19X1PxNsVj9qvrqb3RZXREU4kJIQQ0gRjJ6h9Rqxc5ZwmRcAb31ivDFwZkdmFiV5ZdmblhmcdO1lBwpejlWbXzIwR1EeP5os9l3ZVub6+7om078oZZxQL37LOBScSEkIIaQKvglpEXgzgWgCTAN6jqldnbPcyAB8A8P2qeqdPm3xGrOJifWXFLCO9vl5eCLkSAV3JH21KtOW1v43UAJvrHFLKQtnJo2Xatbxc3Bd1llYP8b4nhBAyOngT1CIyCWA/gBcBOA7gDhG5RVXvTWz3BAA/B+BjvmyJ4zNiFRfrIkYsFA3n59lZ17aQxFgblGl/W6kBRdc5lJSFMmLWZtu0dhX1xbjfz4QQQsLFZ4T6QgCfVdX7AEBEbgZwKYB7E9u9A8C7APySR1s2YCNWq+StxsX61JQpBdamEApFjLVFXvuLam6HItRCsStLzKZ9T2yEb5V2tX0/hz6ZmRBCSHv4FNTnAHgg9vo4gBfENxCRCwA8U1X/VEQyBbWIzAOYB4Dp6WkPpm6kTqpEXKyff367D+BQxFhbZLV/cdGk46ytmZUgs2puh0IIdqWJ2azvia3wLduuuvdz3eXiu5A+RQghpB18CmpJeU+/+aHIBIBrAFxWdCBVXQSwCABbtmzRgs1r42poOQQhFIINbZJsf78P7NxpKkkAJtd9HFIH6kZX08Ts3r3Zy4W7cuRcLTdeVxAz3YQQQkgePgX1cQDPjL0+F8CDsddPAPB8AD0xxZbPAnCLiPyk74mJRbQ9tDxq1I0Muoyw93omrz1icnL0r6+r6GokZvt9I6anprK/Jy4cOZdR4TRBHL1vc2/xN4EQQkgePgX1HQCeIyLPBvB5AK8A8KroQ1X9CoAzo9ci0gPwS22LaaBchI15lfnUEUU+htlnZ02ax8qKWeb6uutG/7q5iq72+2bZ+YMHTYQ/XhpyamooUl31p8uocFIQT02Vu7fGPX2KEEJIPt4EtaquisguAB+BKZt3o6p+UkTeDuBOVb3F17ldYDtxsUt5lW2I/7goOnHCCDJbB8XHMPs4CiMX0dXoXj9xwiy+AgzL3c3O+vkeuIwKJ6970b2V9l0Z9/QpQggh2XitQ62qtwK4NfHeWzO2nfVpiw+6lFfpWvzbinObZaWzbNy3z88wu0th1JSTUuc8LpyIXs9E9TU2g2HTJn+Ojyu7k8eLjvEP/2BGKFTTK8B0yVEmhBDSPmO3UqJLykbQ2kwPSYqepaVmKh7MzNgtK51mo81iH23SlPBycZ66TsTsrBGgUf65CLB9+/CYvvKLfUSF+31T0nJtzbRp376N5+iSo0wIISQMKKhrEEXQlpaKt2076hUX/5OTG/Ngs2zJcgBsBUe0/wUX2C0rXWWxjzZpSni5zIGuE+Xev39jucG5ueFnoTo+eXWy19eNY7C8vHGf6D5cWTGfT001azMhhJDuQUHtgEOHzAP60KFscdp21Csueo4dAw4cyLclzwGwicwn97/ySuDjHwe2bs2PZocuzKamhnnDWf3geiTCZQ50nkNXZPf8fHZt9RAdn6p1smdmTNQ6ch527zbtDq19hBBCwoGCugJVJs6ViXqlCRsXIi1e9ixyArIEWlGZsSLhG99/ZQW45hoTETx6dKM4cVVn2CeRMFtZMW2YmBguCJPsB5cjEfG+ia/AmaymYXNv2EzCs7G77vVpMu0pq802jtvysrnW6+tM+yCEEFIMBXUJssqGZUW7kuLBJuqVJmwAt+kiNoLCpszYnj3Z54jvL2LanBQnbafB2BJPEQA2tmPPnnrpMFn9n9Y3adU0ALs+LIrKNjGC0vT1zmtzkWPAutOEEELKQEFtSV7ZsDRxmiYebKJeWZFhH+XjytTdLTupMb7/1JRxIJLipOk0mMghArIrjaQRH12IItRZIqtKOkyasLS9D9LeK7oeadesCQEZb5NNCcW65LW5yKEJOf2IEEJIeFBQWxKJgXjZsCh1I02cpgkiG9GStU0TubpJku2KbLCd1BjfPy33tskoYL9vjv/YY+b1wYPA7bfb9Vt88unDDwNnnZUtyG2EWFE6TV6er+17We3IE5W+BWSZEoquSPtuNpXeQgghZHygoLYkmcKgaqKVWakbWRUrikRL1jY+c3WTZC1qEdnwd38HfOhDpg9sI8tp4qTJKGCvB5w8OXxdJSIezzuPKlykkSXE4hMbi9JpbO+DrPeKSKv5HU229HUdZmbsSyj6pOmRkS4jIpMA7gTweVV9yWDl25sBPAXA3QBeq6qPtWkjIYSEAAW1JWlVMtbXTRrAwoL5l6x6kCZ0bKJeWeIzK1f3xAngXe8CLrywviDKE+rR34WFYaQ+WtyjKq6jgFlR+9lZ4LTThhHqshHxuiIsT8DmTZ4rug/iIj2KdNvYFT/nyorJ7V9f95/bPDdXPCHWN8yPLsXPA/gUgCcOXv8GgGtU9WYR+V0ArwPw7raMI4SQUKCgLkEkZqIqGVFO7ZEjpnpFUoj4HDJODp9/8IPALbcMq09UPW+RcOz1zGfAqYt72JKXqlInjaXIGej1quVQA/VFWLJfl5c3Tuqscuy86iNFbbOZNOqDEHKTs2xoc+GlEBGRcwH8BIBfB/AGEREALwTwqsEmhwAsgIKaEEIoqKsQPZAXFoyYbqO0VnL4HHBjR5FwTH6el/qQRlz0Tk6aNkTiNk8QuygNV8fBqSsEiypOVDl21N606iM2oyBFk0bLUsZRaluwpkX6u1BxpmH2AXgjgCcMXk8BeFRVVwevjwM4pw3DCCEkNCioKzIzYwT10aPtDR1Hw+c21ScAO1FaJO7qCsu46F1bMw5BtCBOliC2XZTk2DGTggL4uR4+BXmVY5epPpJlU96k0TIUOUOhi1XmVW9ERF4C4BFVvUtEZqO3UzbVlPcgIvMA5gFgenrai42EEBISFNQ1yBNJTQwfJ6OMeZPKyoiaInFXR1hGIjAqPxif2JgVxS0SO8mo944d/qtHVMFHZHbbNvP3ggvqTSqsa1veNeqCWGVe9Sn8EICfFJFLAJwBk0O9D8CTRWTTIEp9LoAH03ZW1UUAiwCwZcuWVNFNCCGjBAV1TdKESF5aQxPnT6OKqPHhFEROQHKBnLwqKGUWJQGA6enwBJtrkg5S1v3VVF5wPFqeXAm0C2I1hNzukFDVPQD2AMAgQv1LqvpqEfkAgJfBVPrYBuBDrRlJCCEBMfaC2ofgyEtraOtBXVbU+Bymj5yAuTm7KihFYqcLgq0OafeojYPUZKrFzEz2SqBdEash5HZ3gDcBuFlEfg3APQBuaNkeQggJgrEW1L4ER15aQ1sP7LKipolh+jICJm/brgi2KmTdozZOhK3odlVxJW8lUIrV7qKqPQC9wf/vA3Bhm/YQQkiIjLWg9iUa89IaquAqil5G1PiK+vpKQYi3ra3yZ75HO5I1qouciKJr6Hoi4aiPFBBCCCFZjLWg9ikA8tIaytDGinaAn6hvEykIbVWU8JU3X1Rur2jyaN41dD2RcJRHCgghhJA8xlpQNyEAXFZPaHJFO8D9MH0TaSRtVZTwlTdf9x7Nu4Z5Yr2qs8nUDkIIIePIWAtqIHwBkLei3dJSt6KBTaQEtJV24DNv3tc9mifWk58BwN693bnXfMIVFQkhhCQZe0EdOsla09GKdpOTG/OzXUarfeY5NzEi0Ebageu8+aYomuw5M9ONhVmagn1BCCEkDQrqQMgTsXFhEy3kAQAHDrhPbfAtGJoYEWhr1MFV3nxodGFhlqZgXxBCCEmDgjoAbJfWTk5OrJLaUBR9blIwdGXovKydoacR2RBvM6t3DGFfEEIISWOsBHVcJADhiDkbEZvcZnm5fGqDjXCvIhjKCM5o2yh9ZWUFmJgA9u8H5ueLz1X1vFXxHbEP0alIazOrdxhYyYQQQkgaYyOok2XNRPzkH1fBRsSmbVM2Elok3CNxV6Y0XxnBGd82mmCpaiZZ7to1XFkvbb+kgGkql9VnxD7UfNy0Nu/ZE4ZtITAKIxCEEELcMjaCOi4S1tfNeyGsYAjYRb1cRMbyhHtVcVdGcMa3nZgwolrVfLa2Vm757KZSU3wO8du2oekoNtMaCCGEkHKMjaCOi4RkhDoEwWAT9aobGcsT5VUFatSvKyumT6emireNhNqVVwLXXGPOuXlzueWzmxJ9Pof4bfquiqNTV4AnK8v0esP3CSGEEHIqYyOo0+rqLi21aVE7ZInyOgt57NtnUjbW1kxedFbqRpo4felLqy2f3WQuq8860EV9V9bRcZVGEu2TdqwQ874JIYSQNhkbQQ1sFEb9vlnJ7rHH3Kxo1yYuBE6eQC06/vKySaOJFpzJE31JcVokVosWH4kEXlcXHSnqu7KOjstUmLRjAWHmfRNCCCFtMlaCOs6o1JN1ObEtTdzaVgbZtMmIwk2b3Kdf5InuUCf22TI7a1KQ1tfN32TflY3Eu0yFSTsWyyoSQgghpzKWgrrfB44dM+IPCCePugq+BY7t8aPJhdHfphgFx0hk498kZVJObAV4llhNvp92rDTB3u8PU6jm5upfgzRHCaDAJoQQEiZjJ6iT5fN27HAjANrC9+Q8m+P3esMSeFnVOnwwCo5Rr2cmx6qav1mlDMuk4RQJ8Kyoftb7yTSbpMju983/H3vMbHPwIHD77cP2xbezFcRJR2lpaZii1cWRCEIIIaPN2Anq+INaFbjvvrYtsiNLjNSdnFckcmyO30aZtSLHyFe6gOvjVillWDfNJSuqbxvtT4rsXg84eXL4Ok0A79tnJl3a2pzsl+i4XR6JIIQQMrqMnaCOlypbXweOHAGOHm0+4lV2dcE8AVW1CoWtMKszcdAXcfEHANPTG8W0j7xqH8etUsqwbppLloivukpmNEoQieo0AXz4cDmb06ryxAV610YiCCGEjDZjJ6ijB/XCghHTyeoKIS5n7StPOH7clRXTJwsL1cusNemQ5Im/JvrL5XHLljIsimoX3b9ZIr6sY5QcJXjpS4GzzjIjBcBGAbx1q3FcywjiZL9wyW9CCCGhMnaCGjAP44WFUx/woS5n7SuloulovUtnJU/8+e6vpqKkZYVvmfs3S8SXcYySowQXXmiWKM9awv788+vVfm/aaSOEEEJsGUtBDZgH8759Zih661bzeu/e9Lq7rqNiZYWZr5SKomi9S1w4K0lBnicKy/ZXnciu7f5VKCN8m654knYfF13nEGq/sxwfIYQQ14ytoO73h5Okjh410bOkQJia8hOxriL4fEXnsqL1rqkr9soK8jL9VTey22Qt7DwxGEIEPc0pjexsWvCn0fW65YQQQsJkbAV12sN9z56NAsGnAHAlkH2vkuiKumIv71rY9EHeNnWvc1NC0WZyatN5xsn7OO86t1ENJkkIop4QQsjoMbaCOuvhnhQIadu4ELFV6gunHcPnKokuqSv2sq6XTR8UbVNX6DUlFG3EYFYEvSmRnXed2xD8SUIQ9YQQQkaPsRXUNg/3tG3qithoRbmDB81CHvFjhFL9wxd1RHvW9bLpg/g2adVM6gq9poRiWkrS3r3FkfmmUxzyrnMIEwu3bTN/u7ygEyGEkLAYW0EN2D3ck9vUEbGRuDlxYrhEd536wlWjbV2dlJV2vWz6wKaaSV2hV2X/stchLtynpuwWSuma0+WTpHMRlfcjhBBC6jLRtgFdIxJnk5Plh4wjcROJaZH0+sK2x44E1jveYR95jETFW95i/vb79vYnj7N3b/X9XWHTB9E2F18MTExsrGbSFlWvw8yMyfVfXk6vSJOkzv3qmrbvmTTnghBCCHHBWEeoq1BneD8eTZ2cBC6/fOOwcxPVP1xELEOrlGA70tBENRNb6l4H29EJn+kobeX7VyG+oiPQ/vUnhBAyWlBQV6BqeoBt3rZPoeFiUlbbaQRVU1ZCmBQXUfc6lGmLj3uqS/n+yRUdd+xg/jQhhBC3jIWg7mrOsA9ciMoqYtDVNagb6awrLl21w8V1aLMtTeX7uyBuKwBMT/N3gBBCiFtGXlC3PdTswhbXDkG8Qkb8dZn9bcRgZLftBDobQol0uriX2qx4Ubctoaz2aQNL5RFCCPHNyAvqttMT6triwyFwccwiMRg/h4iZCOhiafO2xFG/b3Kwo0ohae2IOz5A2KMidb8XZQVym6NEdcQ8R7cIIYTYMPKCOqToVFlbbERcFWzEVF0hET/HxITJXU1WNalCkThyKYCSEfboOkxMnNqOZJ6uyKl1xqucO9SVKwH7CLvPUSLbfqpa1jCU0S1CCCFhM/KCOqSJaGVsiR7meSKuKkViyoWQSJ5j3z5T6q3MNcgSS1niKMtuW9GVjDBH/Q+YUoeq5jpcfPHGhWGAjQ7E+vpwnypOUBNCrsnvha9RIt/9FNLoFiGEkLDxKqhF5MUArgUwCeA9qnp14vM3APgZAKsAvgjgclX9nE+b0mh6aWabc0QP80hMp4m4Ojbkiam4kDhxwqzs6CvPOosqYimrzrDNcZLn27Zt6MxETEwAmzenX4dkScR4hLqsE+RTyCXv9SYEoq9RIt+CN6TRLUIIIWHjTVCLyCSA/QBeBOA4gDtE5BZVvTe22T0AtqjqN0TkCgDvAvDTLu0oEmahDusmH+auxLTtuScnjVBRNcukVykzVkew5YmlLAcoTQDZiq7kdsBwERjACOQtW4Dv+77stsYdiOiYVZwJX0KurXu9qnNV5Oj6FrwhjW4RQggJG58R6gsBfFZV7wMAEbkZwKUAvimoVfX22PZ/C+A1ro0oElShDuv6fJgXCauZGbPozPXXG0G9utp8v2SJpTzbs/rMRnQlzzc3B1xwAfDf/7sR1Zs2AZ/4BHDXXcChQ+liNOlAVO0vX9e+zXu9rHNlI/6bELx1K+IQQggZD3wK6nMAPBB7fRzAC3K2fx2A/+XaiKIoVpvDukUROF9D8jbCam7OCMe6/eJ6EZYi29NErY3oytpucnJYoSTKj25CjPq49l1KYbAV/77TVkIdwSKEEBIWPgW1pLynqRuKvAbAFgA/kvH5PIB5AJieni5lRJGgamtYt6kHdZqgTQqrqSlg796N27joFx+LsFQRhbaiK7ldrzdMe1F1V6mkLbqUwhCK+A91BIsQQkhY+BTUxwE8M/b6XAAPJjcSkYsBvBnAj6jqStqBVHURwCIAbNmyJVWU5xEJpX7/VOFYhaKoq01UtokHdZagjQurvEVX6kb/fLQxsn1pyX6fqlFyF5VKQqOpiYh1aVr8l8nLJ4QQQpL4FNR3AHiOiDwbwOcBvALAq+IbiMgFAK4H8GJVfcSjLbkl1cpEUV1NcmziQZ0naCNhtXevP2Hvs41ROkpWPnNEnSi5S1HHBULK05T4r5KXTwghhMTxJqhVdVVEdgH4CEzZvBtV9ZMi8nYAd6rqLQD+HwCPB/ABEQGAY6r6kz7syRKXZaOoriY5+n5Q9/vAsWNmMh2QLWh9it4QJtfVjZK7EHVtpveQYsrm5RNCCCFJvNahVtVbAdyaeO+tsf9f7PP8cbKEY1lB6XKSo68HdXLVvh07ssveZYleV+LMVRvj9pTp4xCG7NtM72mTEAS+jQ0h3COEEEK6zcivlBiRJRzLRlFDneQYJy7gAGB6Ot+OpOgNTZyl2WPbx01ejzJ5uK7F5tKSWYSn6uqMRZS1N4R7yNaGEL6zhBBCus3YCGogO1paNopatH3bQ8R1I25NVTawFWlp9uzZUy4XuolJbbZ5uIBbsdnvAzfeaMQ0YNJ8XEZZk22zmZxZ5h7yFckuY0OaU0mBTQghxJaxEtSh4eOhHR2zTkWKJobAy0QwuzAkXyYP1/VE0Ki8H2DK+m3f7k+YrqwAu3aZetwuJt36jGRXvW9CiK4TQgjpFmMvqNuKRLl8aEdtyCuBV4YmhsDLRg+z7Im3vc2SdmXE29SUWdZc1Y2DkLbKo0vixxexW+DG9h7ymaoyM2Mcy8OHga1b7Y/b1AgNIYSQ0WGsBXWbkShXD+14G0SGq/rFj1nFafCdJlE2ephmT9T2lRXT5okJYPPmdiKKtgKy3zdOz9qasXffvvq2+naA4sePnLaVFXO/TU3l75dnS16qigtHN+rrxx4Djh4Fzj/f7lhdGBEhhBASFmMpqKOH9bFj7UWiXD2048JcxPybmNg4+S3E4WsXIjBq+/q6ee3CkcijKBpu44TEbRYxx3GBbwcoefxdu8w9t3u3vVBNkpWq4uqereq0cpIiIYSQsoydoE6WlCuq0+wLVw/tSJhHUVrAtCuKfF5xhd/qD3WoKwKTbffpSLiKhhc5UouLwxSF+flqdvoWgsvL6SMhZUlLVen3gYWFYT+7PH6Z73fbE4sJIYR0i7ET1MmScjt2mLJybUSiXDy0I2G+sAAcOWJEiKoRPb6rP7RNMhUhHjX2MfEvLxpexebkPbe4CLz+9eb/H/2o+VtGVDc1GuFqdCWr+kncaZmcNCNJ/f6wLbZOAyPN1RGRZwJYAnAWgHUAi6p6rYg8BcD7AJwH4H4AL1fVL7dlJyGEhMLYCeq0qFjXH7QzM0ZQHz26UeT4rv4QAllOies82LxouCubDx8+9bWNoG46hcmlUE2rfhI5Lc99LnDffcCBA8Ml5oFTnQYgvy78qN3zDbEK4BdV9W4ReQKAu0TkzwFcBuA2Vb1aRK4CcBWAN7VoJyGEBMHYCeq0qNjevd2PYGWJHJ/VH0LGdXQyLxruiq1bh5Hp6HURbaUw1RWqaVHm2VnThsgJ/MxnzOhKfDQA2Og0LC0ZsR3aHIGuo6oPAXho8P+vicinAJwD4FIAs4PNDgHogYKaEELGT1ADQzEQ6oS9qqSJnG3bzN9RiMSXxXV00ne0M4pGl8mhDimFyZas793MDHD55cD11xshrWoEtshGByHuJALpUfmkYOdCLdURkfMAXADgYwCePhDbUNWHRORpGfvMA5gHgOnp6WYMJYSQFhlLQR0xyvVmk6KlbHS6igChaKnP/Hy5vOkupjDlfe/m5jZGnNMWKEqOMMW3T5uQum+fm/rs44iIPB7AYQC7VfWrImK1n6ouAlgEgC1btqg/CwkhJAzGWlB3rd5smQoQdZyFKpH7UYv2h0LcSQFOdVi6OPEu73tn057kSEFy++SE1MOHR9dx9omInAYjpv9AVf948PYXROTsQXT6bACPtGchIYSEw1gL6i6JkbIVIOo4C1liPC8CPcrR/rK4itQn86NFgNXVUx2WKqkobY4mFH3vyrYnuX3y3t+69dQJu+T/b+/ug++o6juOv78kIQhFwCBWhQhUdEp1poHUaF/lswAAF/JJREFUEm2dKJSibY2WqKHaxEKhPuCU0k7H1Jk21ekg2ipWaSU8pIlF0SaOZiwdhsSkov2BgCAPApIChiiKRqW1DiEP3/6xu2az7L13n5/u5zWT+d2n3++es2dz7+ecPXt2PAuGoq8G7nP3D8ee2gisAD4Q/vxCC8UTEemcqQ7U0J9VAPKuAFGms5AWxieNQPdhtL+JEFnlSH28kxKtfFHFeuJdOJpQ5/+7tH3/pS8t3vZTOpXpFcAfAneb2Z3hY39FEKQ/a2bnAduBN7ZUPhGRTpn6QN0XRVaAGBVaJgWEtEAyaV3nsqP9dYeWtHm1dazUUeVIfbyTkhyhLtNhmYajCcl9v2iA70Lnow3u/hVg1ITp05ssi4hIHyhQ90SRFSDSZA0Ikw6jpwW6LoeWeIjctSu4dPa+fdW/X5Uj9WlLPFbR6aj7aMKQRnSnofMhIiLlKVD3SJ4VIEaFmqIBoc755k2ElniINNs/jaLq96t6pD5tpLXtMo7TxRHdMivWzJvX/alMIiLSPgXqARoXasqMTtY177WJ+dfJC7PEl1Gr+v26PFIfmVTGoqPMXRvRzbJN4+F5586n7x91TQ8SEZHhUKCeYFywmLSkWVvGhZourmyStUxlpxLEQ2SZk9Tq0pUwWibYd+3k1EnbNKpr/JLyBx0U3I6OYOzcCStXtlUDERHpAwXqMcYFi6xLmuV9vybmyHZxZZMsI6ZVjt52cRt0JYwmQ+i6ddn3y6512CZt06iu0Soq0c+0KzSKiIiMokA9xrjRraqXNKsyMDYdapo4Ca0ro7d16koYTa4usmZNvs5inZ2VvPvapG0a1TU+Qj137v5pHvPmBb8b/S0REZE0CtRjjBvdin8Rm+0/TFx0RKvqwNjUCGxT8367Mnpbty6MnMdD6PbtcOWV3ejIFN3Xxm3T5Nz6+FzpLp5gKSIi3aRAPca40a1Fi4JRrAsvDMKGGZx/PixfXuxLt6+BcVRHoOpR666M3kaGtDRcmiiEzszA2rXV7ZdltltdRymSgXtmJlh3ffv24R8VERGRaihQTxD/sk2GgZ0795+8tHcvzJ/fn2kaVSlyVcWimhx1H9cO0zRymWe/rHu7NdHpTJ4bMTv8hOxTJ1dERJqnQJ1RWhio+gu+C4f780oLXJOuqtiUZMDLMjqaJfT1eT53com4rCcaTnpNE9stb6ezyGh4vIwQHHWaP79fnVwREWmeAvUE0Zdy2uHflSv7OapctWTg6sL0lbRLjcfXFh41Opol9HWhfkWkLRE3d241I+xNbbesnc6io+HJMhadwiUiItNFgXqMLId/844qt712dRNzf7swfSUZ8DZsyDY6mvUS63WPlNYhbYm4qkbY69huZRQdDe/CvisiIv0zdYE6T7ip4vBvMkBXvXZ1HkVG7YqGwSanr6SVMRnwzj4bbrpp8uhomUCVVo4uzbdOWyKuqhH2rNutjv0iS/t34YqgIiIyXFMVqPOGm7KHf5Pvt2JFtWtX55V31K5LYXCUUWVMC3jJqyOO6ixMClTJIxfnngsLFqRPKalqvnUVo9zjloirQp4gWtWofZ72FxERqctUBeq84absl3Ly/eDAC2bER6ibmIebd9QuXv5du2DVquBfl8LJuDZNBrzkii1FOwvx99y7F664ImjP+OWqo3JUMW+4aFnTQmsXRl+r7KjlaX8REZG6TFWgLhJuynwpp41wL19e7RzqPCN9eTsIySkCmzYF0ya6NFJdNLCWGTmO3vPJJ4MjDO7B9km7XHUVI6VFypo3tDY5z7vKVVKytH/RunVl7ruIiHTfVAXqpg8Dj3q/5KhpUUVG+vJ0EKLyr1oVhOm0k9jaDh1F27TsHNvNm2HdugMvyx1drjrvFJJR4kvc5S1rntDa9NSeItt+3PScce0/qW4zM0E7woFTuvow3UlERLpjqgI1NH8YeNT7VRFEqxzpG2XRoiBQp53Q15XQUaRNy3auoveMH3Gosu5py/7lmfOcJ7QWHQEvs+3yrpIybj8b1/7j6jYzE7x/NB1rzRrYsqXaue8iIjIdpi5Qd8Hq1fsvWT53bv6wFIlPyTALRjLrMCoAlQkdbY9sQzWdq7o6aMltu3NnsO55nnJlDa15R4yr6Ejl6WhWMT0nrW5bt8Lu3fvvVz33XUREpocCdcNmZuBd7wqmCUAwD/fCC4PpFHnDyaJFQRiPwvlFFwUrWdQR8NICUNHQ0eX5vU3IUp8mL4KSd8S4rtHbUftFFdNz0uq2eDHMmXPgCcPJue/RdBAREZFxFKhrMC4wbd26f8k8CEaWo2X0ioSTnTvTV5doQtFpE12e31u3rPVJ27Z1dCzifzPrCHhdo7ej9ouqpuekPb51a/oc6sjatUFZ1q7t/74nIiL1UaDOaVKomRSYFi8Opnns2hVcWOPii+FjHyseTto+NF1kykPd83vjuja6nac+8W1bR8eizN9csSL4WeWlucftF3VNrYlPK0nSPGoREclKgTqHLAFk0pdw2mjb61/f3AleRVUZTIvM7y0yT7yLo9ttLPNX5d9MbtPly7O/36R9qKl9OVmmUftIWlt1rYMmIiLdoECdQ5YAkiUwJUfbyo6+1b1ySR3BdFyZk6Gl6DzxLo4wFg2NRU4crGOedtFtmmeqS9a/V0WwHVefZFtB9zpoIiLSDQrUOWQNy0O75HGTwTQteBWdJ972dJhRotA4MwOXXFL9RXmyrL0c/Z28+2oXRtizhPOsgXtSfeIB/5JLutdBExGRblCgziFrqKl7xLhpo0JHHYe/04JX0RAXjW5v2ABnn92tNqnzojzjwmva+2Y9GTFq7yLLPFbZuZkUzvNs2yLTj7rWQRMRkfYpUOcwrfMnR604Ucfh77TQUnTUf2YmmCLy1FPBhWnqWlJwUhnSyl3nqP+ktZfrnLIxSpVHbiYF27x1zNpRGeLRJxERqYYC9RjxMATNzJ/samhPho66AuGo0FJk1L+qMhZtk7wnvFVlXPBrc8pGVUduJgXburdtl/5fiohINyhQj5AMQytW1D9/sourUkTlSoaXefOCZf/cuxtaqghWZdpkVAgtM3Uiq1HbsMgo68wMbN8Os8NPiy5Mdxi3j2gkWUREmqZATRAYkhd3SIYhqH/+ZBdXpUgLlBBMpdi7NwjVl13WfjnTVBGsyrTJqGXX2u405emwxMs7axacf361a09XJdnp00iyiIg0aeoD9cxM8CUcheY1a2DLlqeHoeXLg3+TwlmZKRtdPOkpLVBCcDu64uOGDe3MT4ZsaxvXOV93nLRA37eVIuLtDzB/fvfK24VOioiITLepD9Rbt8Lu3fvvRyFn5crRc3lH6dKJW1UZFSgPPji42Mq+fbBpU3DSX9NBpokgVbZNkoG+zU5Tkc5eFzt5SV08siMiItNl6gP14sUwZ86B0zqi0JD30PiqVftDZpMnbtV5IuOoQLl5c1DfTZvK1beMZJBaty54bN68aucmlxnlTpuKkCWgV92mRTsfXezkJS1eHExH2bcv+NnF0C8iIsM29YE6mi+dnEOdRxRWojB90EHNjeaVHaXNEtzSAuWiRUGgvumm9kYv46Ons2YF03V2797fBnPntnv4f1TbTArodYy8lxnF7cN8ZLMDf4qIiDRp6gM1lA8MUViJgtwZZwRhs4kQUiYoFQ1uZa60V6X46On27XDllfvndbc1ah5XtG3qmMJQ9dSNLi3vuHUr7NkTrDizZ4+mfIiISPNqDdRmdhbwUWAWcJW7fyDx/FxgHXAqsBN4s7s/UmeZssgbFpJhpakwnfbeeYJSkeBW5kp7dYg6QzMzsHbt5KMEybXFR7VzFYGxaNuM+72i5UpO3YDslz1P6tJJgF1c0k9ERKZPbYHazGYBlwO/BewAbjWzje7+zdjLzgN+7O4vNLNlwKXAm+sq0yTR8nlr1gQjXVnDQpvzTLO896gQViTwdfUEsPh2GDWHOrkEnFl6OxcJjGnbuOh+Mer3qjjpNep8lPk74/aBJkeu+7Kkn4iIDF+dI9QvA7a5+0MAZnYdsASIB+olwKrw9nrg42Zm7u41litV9OX85JPBoWPIFxjbnGc67r3Hhaciga/Lqz5MaoN4EIymhrg/vZ3zdhombeMi+0Xa71XVmSn7d0btA02PXPdhST8REZkOdQbq5wOPxu7vAH591GvcfY+ZPQHMA34Yf5GZXQBcADB//vxaCht9OUdh2qx7gbGISeEpb+Drw6oPoyRPYoyPUMfbOW+noalR+6o6M2X/zqh9oOmjF13u3ImIyHSpM1CnnW+fHHnO8hrcfTWwGmDhwoW1jF4nw9a55w7j8HEdoaMPqz6kSZtHnNYxyNtpaCrYVdWZqeLvpO0DTQfcPnfuRERkWOoM1DuA42L3jwW+O+I1O8xsNnAE8KMayzTSUL+ch1qvopJBMM9SgeP+ZlPbuKrOTB2dojb2tb527kREZFjqDNS3AieZ2QnAd4BlwB8kXrMRWAHMAEuBL7Uxfzoy1C/nodarS7SNA9oOIiIyjWoL1OGc6AuBGwiWzbvG3e81s/cBt7n7RuBq4JNmto1gZHpZXeUREREREalDretQu/v1wPWJx/46dvtJ4I11lkFEREREpE4HtV0AEREREZE+U6AWERERESlBgVpEREREpAQFahERERGREhSoRURERERKUKAWEZFczOwsM3vAzLaZ2XvaLo+ISNsUqEVEJDMzmwVcDrwGOBk4x8xObrdUIiLtUqAWEZE8XgZsc/eH3P0p4DpgSctlEhFplQK1iIjk8Xzg0dj9HeFjIiJTq9YrJdbh9ttv/6GZfbvArx4N/LDq8nTEkOsGw66f6tZfRer3gjoK0jBLecwPeIHZBcAF4d2fmtkDBd5nyPvPkOsGw67fkOsGA66fXVq4bpk+t3sXqN392UV+z8xuc/eFVZenC4ZcNxh2/VS3/hp6/cbYARwXu38s8N34C9x9NbC6zJsMefsOuW4w7PoNuW4w7PrVXTdN+RARkTxuBU4ysxPM7GBgGbCx5TKJiLSqdyPUIiLSHnffY2YXAjcAs4Br3P3eloslItKqaQrUpQ4/dtyQ6wbDrp/q1l9Dr99I7n49cH3NbzPk7TvkusGw6zfkusGw61dr3czdJ79KRERERERSaQ61iIiIiEgJgw/UQ7hErpkdZ2ZbzOw+M7vXzP40fPxZZnajmT0Y/jwqfNzM7B/DOt9lZqe0W4PJzGyWmd1hZl8M759gZreEdftMePITZjY3vL8tfP74Nss9iZkdaWbrzez+sP0WDazd/izcJ+8xs0+b2SF9bTszu8bMHjeze2KP5W4rM1sRvv5BM1vRRl36ZNJndNf3m3Ey1O1iM/tmuA9tNrNeLauY9fvVzJaamZtZb1aPyFI3M3tT2H73mtmnmi5jGRn2zflh7rgj3D9f20Y580r7HE88X9/3rLsP9h/BCTP/DZwIHAx8Azi57XIVqMdzgVPC24cD3yK45O8HgfeEj78HuDS8/VrgPwjWiz0NuKXtOmSo48XAp4Avhvc/CywLb38CeEd4+53AJ8Lby4DPtF32CfVaC/xxePtg4MihtBvBxTweBp4Ra7O39bXtgFcCpwD3xB7L1VbAs4CHwp9HhbePartuXf2X5TO66/tNybq9Cjg0vP2OvtQta/3C1x0OfBm4GVjYdrkrbLuTgDui/9/AMW2Xu+L6rY59dp8MPNJ2uTPW7Wmf44nna/ueHfoI9SAukevuj7n718Pb/wvcRxBmlhAENsKfrw9vLwHWeeBm4Egze27Dxc7MzI4Ffge4KrxvwKuB9eFLknWL6rweOD18feeY2TMJ/nNfDeDuT7n7TxhIu4VmA88ws9nAocBj9LTt3P3LwI8SD+dtq98GbnT3H7n7j4EbgbPqL31vZfmM7vR+M8bEurn7Fnf/WXj3ZoI1vfsi6/fr+wk6pk82WbiSstTtfODy8P857v54w2UsI0v9HHhmePsIEmvNd9WIz/G42r5nhx6oB3eJ3PBw5wLgFuA57v4YBKEbOCZ8Wd/qfRnwl8C+8P484Cfuvie8Hy//z+sWPv9E+PouOhH4AbAmPGx2lZkdxkDazd2/A/w9sJ0gSD8B3M4w2i6St6161YYdkGV79XG/gfz7wnkEI2d9MbF+ZrYAOM7dv9hkwSqQpe1eBLzIzL5qZjebWZ86zlnqtwp4q5ntIFjR593NFK12tX1GDz1QT7xEbp+Y2S8AG4CL3P1/xr005bFO1tvMfhd43N1vjz+c8lLP8FzXzCY49PTP7r4A+D+CaQOj9KluhPOJlwAnAM8DDgNek/LSPrbdJKPqMqQ6NiHL9urrNs1cbjN7K7AQ+FCtJarW2PqZ2UHAR4A/b6xE1cnSdrMJpn0sBs4BrjKzI2suV1Wy1O8c4F/c/ViCaRKfDNu072r7PBnCxhln4iVy+8LM5hCE6Wvd/XPhw9+PDlWEP6NDTn2q9yuA15nZIwSHnV5NMGJ9ZDiNAA4s/8/rFj5/BOMP77RpB7DD3W8J768nCNhDaDeAM4CH3f0H7r4b+BzwcobRdpG8bdW3Nmxblu3Vx/0GMu4LZnYG8F7gde6+q6GyVWFS/Q4HXgJsDT/fTwM29uTExKz75Rfcfbe7Pww8QBCw+yBL/c4jOB8Gd58BDgGObqR09artM3rogXoQl8gN5wteDdzn7h+OPbURiFYRWAF8Ifb48vBs1tOAJ6LD1l3j7ivd/Vh3P56gfb7k7m8BtgBLw5cl6xbVeWn4+k6OVrn794BHzezF4UOnA99kAO0W2g6cZmaHhvtoVL/et11M3ra6ATjTzI4KR/DPDB+TdFk+o/u430CGuoVTIq4gCNN9moMLE+rn7k+4+9Hufnz4+X4zQT1va6e4uWTZLz9PcFIpZnY0wRSQhxotZXFZ6red4DMdM/tlgkD9g0ZLWY/6vmerOruxq/8IDlV8i+CM1ve2XZ6CdfgNgkMSdwF3hv9eSzCPcDPwYPjzWeHrDbg8rPPd9OfM6sXsX+XjROBrwDbg34C54eOHhPe3hc+f2Ha5J9TpV4Hbwrb7PMHKD4NpN+BvgfuBe4BPAnP72nbApwnmgu8mGMU4r0hbAeeGddwG/FHb9er6v7TPaOB9BOGr8/tNybptAr4f+1zf2HaZq6xf4rVb+/CZlqPtDPgwwSDC3YQrG/XlX4b6nQx8lWAFkDuBM9suc8Z6pX2Ovx14e6zdavme1ZUSRURERERKGPqUDxERERGRWilQi4iIiIiUoEAtIiIiIlKCArWIiIiISAkK1CIiIiIiJShQy2CZ2X/lfP1iM+vbJXJFRKaSmf207TKIRBSoZbDc/eVtl0FERESGT4FaBisavQhHnrea2Xozu9/Mrg2v7IeZnRU+9hXg92O/e5iZXWNmt5rZHWa2JHz8YjO7Jrz9UjO7x8wObaF6IiKDYmaXmtk7Y/dXmdnfmNlmM/u6md0dfRYnfu+Ao4tm9nEze1t4+1Qz+08zu93MbjCz5zZSGZk6CtQyLRYAFxFc/elE4BVmdghwJfB7wG8Cvxh7/XsJLnH8awSXl/2QmR0GXAa80MzeAKwB/sTdf9ZcNUREBus64M2x+28i+Jx9g7ufQvBZ/A/RgMgkZjYH+Biw1N1PBa4B/q7aIosEZrddAJGGfM3ddwCY2Z3A8cBPgYfd/cHw8X8FLghffybwOjP7i/D+IcB8d78vHPm4C7jC3b/aXBVERIbL3e8ws2PM7HnAs4EfE1xG+iNm9kpgH/B84DnA9zL8yRcDLwFuDDP4rPDviVROgVqmxa7Y7b3s3/d9xOsNONvdH0h57iSCMP686oonIiLAemApwRHD64C3EITrU919t5k9QjDAEbeHA4+4R88bcK+7L6q1xCJoyodMt/uBE8zsl8L758SeuwF4d2yu9YLw5xHAR4FXAvPMbGmD5RURGbrrgGUEoXo9cATweBimXwW8IOV3vg2cbGZzw8/o08PHHwCebWaLIJgCYma/UnsNZCopUMvUcvcnCaZ4/Ht4UuK3Y0+/H5gD3GVm94T3AT4C/JO7fws4D/iAmR3TYLFFRAbL3e8FDge+4+6PAdcCC83sNoLR6vtTfudR4LMEU/GuBe4IH3+KIJhfambfAO4EtPqT1MLcRx3xFhERERGRSTRCLSIiIiJSggK1iIiIiEgJCtQiIiIiIiUoUIuIiIiIlKBALSIiIiJSggK1iIiIiEgJCtQiIiIiIiUoUIuIiIiIlPD/2A6wrE0j8TMAAAAASUVORK5CYII=\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "fig, (ax1, ax2) = plt.subplots(1, 2, figsize=(12, 6))\n", "ax1.plot(uni_dist, \"b.\")\n", "ax1.set(title=\"uniform distribution\", ylabel=\"value\", xlabel=\"index\")\n", "ax2.hist(uni_dist)\n", "ax2.set(title=\"histogram of uniform dist\", ylabel=\"count\", xlabel=\"value\");" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Repeat for a normal distribution with $\\mu$, and $\\sigma$ from 11-pandas4\n", "\n", "#### First read in the $\\mu$, $\\sigma$ values from `fit_metadata.json`" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "{'metadata': '\\n loc,scale tuples for daily average temperature (deg C)\\n and precipitation (mm) produced by 11-pandas4 for YVR\\n ',\n", " 'temp': {'djf': [3.84256591465072, 3.595365405560527],\n", " 'mam': [9.356482721671577, 3.4789191637037504],\n", " 'jja': [16.88648212846009, 2.324995343255562],\n", " 'son': [10.308878631550368, 4.372545963729551]},\n", " 'precip': {'djf': [0.0, 4.8432998097309055],\n", " 'mam': [0.0, 2.6093758371283147],\n", " 'jja': [0.0, 1.2523918301531844],\n", " 'son': [0.0, 3.770662503393972]}}" ] }, "execution_count": 4, "metadata": {}, "output_type": "execute_result" } ], "source": [ "json_file = context.weather_processed_dir / 'fit_metadata.json'\n", "with open(json_file, 'r') as f:\n", " fit_dict=json.load(f)\n", "fit_dict" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Now pull the mean and standard deviation for spring" ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [], "source": [ "mu, sigma = fit_dict['temp']['mam']" ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "normal_dist = rn.normal(mu, sigma, (1000,))\n", "fig, (ax1, ax2) = plt.subplots(1, 2, figsize=(12, 6))\n", "ax1.plot(normal_dist, \"b.\")\n", "ax1.set(title=\"temperatures (C) for mam\", ylabel=\"value\", xlabel=\"index\")\n", "ax2.hist(normal_dist)\n", "ax2.set(title=\"temperature histogram\", ylabel=\"count\", xlabel=\"daily mean temp (C)\");" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## lognormal random numbers with $\\mu=1$, $\\log \\sigma=0.1$\n", "\n", "Note that there are dozens of distributions defined by\n", "[numpy.random](https://docs.scipy.org/doc/numpy/reference/routines.random.html)\n", "\n", "Here is an example for lognormal statistics" ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "log_normal_dist = rn.lognormal(1, 0.3, (1000,))\n", "fig, (ax1, ax2) = plt.subplots(1, 2, figsize=(12, 6))\n", "ax1.plot(log_normal_dist, \"b.\")\n", "ax1.set(title=\"lognormal distribution\", ylabel=\"value\", xlabel=\"index\")\n", "ax2.hist(log_normal_dist)\n", "ax2.set(title=\"histogram of lognormal dist\", ylabel=\"count\", xlabel=\"value\");" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Correlated random numbers" ] }, { "cell_type": "code", "execution_count": 8, "metadata": { "lines_to_next_cell": 2 }, "outputs": [], "source": [ "def makeRandom(\n", " meanx=None, stdx=None, meany=None, stdy=None, rho=None, numpoints=100000\n", "):\n", "\n", " \"\"\"\n", " return a tuple with two vectors (xvec,yvec) giving the\n", " coordinates of numpoints chosen from a two dimensional\n", " Gaussian distribution\n", "\n", " Parameters\n", " ----------\n", "\n", " meanx: float -- mean in x direction\n", " stdx: float -- standard deviation in x direction\n", " meany: float -- mean in y direction\n", " stdy: float -- standar deviation in y direction\n", " rho: float -- correlation coefficient\n", " numpoints: length of returned xvec and yvec\n", "\n", "\n", " Returns\n", " -------\n", "\n", " (xvec, yvec): tuple of ndarray vectors containing\n", " correlated random variables, \n", " each vector of length numpoints\n", "\n", " Example\n", " -------\n", "\n", " invalues={'meanx':450.,\n", " 'stdx':50,\n", " 'meany':-180,\n", " 'stdy':40,\n", " 'rho':0.8}\n", "\n", " chanx,chany=makeRandom(**invalues)\n", "\n", "\n", " \"\"\"\n", " sigma = np.array([stdx ** 2.0, rho * stdx * stdy, rho * stdx * stdy, stdy ** 2.0])\n", " sigma.shape = [2, 2]\n", " meanvec = [meanx, meany]\n", " outRandom = rn.multivariate_normal(meanvec, sigma, [numpoints])\n", " chan1 = outRandom[:, 0]\n", " chan2 = outRandom[:, 1]\n", " return (chan1, chan2)" ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [], "source": [ "invalues = {\n", " \"meanx\": 450.0,\n", " \"stdx\": 50,\n", " \"meany\": -180,\n", " \"stdy\": 40,\n", " \"rho\": 0.8,\n", " \"numpoints\": 25000,\n", "}\n", "\n", "chanx, chany = makeRandom(**invalues)" ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# https://matplotlib.org/gallery/statistics/hist.html\n", "fig, (ax1, ax2) = plt.subplots(1, 2, figsize=(12, 6))\n", "ax1.plot(chanx, chany, \"b.\")\n", "h, x, y, im = ax2.hist2d(chanx, chany, bins=(50, 50), norm=colors.LogNorm())\n", "fig.colorbar(im)\n", "ax2.grid(True)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Your turn\n", "\n", "1. Generate a precipitation dataset for YVR springtime using \n", " [numpy.random.exponential](https://docs.scipy.org/doc/numpy/reference/generated/numpy.random.exponential.html#numpy.random.exponential)\n", " \n", "1. We have been assuming that precipitation and temperature are independent\n", " random variables. Make a scatterplot and 2D histogram of one of the YVR\n", " seasonal precipitation, temperature dataframes. Do you see any\n", " correlation? What does [numpy.correlate](https://docs.scipy.org/doc/numpy/reference/generated/numpy.correlate.html) say?" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [] } ], "metadata": { "jupytext": { "cell_metadata_filter": "all", "notebook_metadata_filter": "all,-language_info", "text_representation": { "extension": ".py", "format_name": "percent", "format_version": "1.2", "jupytext_version": "1.0.2" } }, "kernelspec": { "display_name": "Python 3", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.6.7" }, "nbsphinx": { "execute": "never" }, "toc": { "base_numbering": 1, "nav_menu": {}, "number_sections": true, "sideBar": true, "skip_h1_title": true, "title_cell": "Table of Contents", "title_sidebar": "Contents", "toc_cell": true, "toc_position": {}, "toc_section_display": true, "toc_window_display": true } }, "nbformat": 4, "nbformat_minor": 2 }